Answer:
Slope of line =
Slope of parallel line =
Slope of perpendicular line = (-2)
Step-by-step explanation:
Slope of a line passing through two points and is,
Therefore, equation of a line passing through points (1, -3) and (-1, -4) will be,
If the slope of a line parallel to the given line is ,
Then by the property of parallel lines,
Therefore, slope of the parallel line will be .
Property of perpendicular lines,
Therefore, slope of the perpendicular line will be (-2).
Answer:
3.07
Step-by-step explanation:
The zeros of the function also called the roots are the x-intercepts where the function crosses the x-axis. The zeros are the x-values at these points. To find them, graph the function and look closely around the x-axis for intercepts.
See attached picture.
Answer:
Perimeter: 119.11 units length
Step-by-step explanation:
Assuming that EC is the length of one side of the square and one of the legs (l) of the isosceles right triangle, then the hypotenuse (h) of the right triangle is:
h² = 2*l²
h = √(2*22²)
h = 22√2 units length
The perimeter of the figure is the addition of 3 sides of the square, one leg of the triangle and the hypotenuse of the triangle, that is: 4*22 + 22√2 = 22*(4 + √2) ≈ 119.11 units length
Answer:
Step-by-step explanation:
Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.